# Stored data for newform 4730.2.a.bf, downloaded from the LMFDB on 25 April 2024.
{"label": "4730.2.a.bf", "space_label": "4730.2.a", "level": 4730, "weight": 2, "hecke_orbit": 32, "hecke_orbit_code": 139611588482044538, "dim": 13, "is_polredabs": true, "trace_hash": 1471983825747903579, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [128, 1648, 296, -4774, -889, 4708, 576, -1985, -100, 376, 5, -32, 0, 1]], [7, [-45248, -50100, 112776, 91557, -96139, -36022, 36437, 2281, -5274, 297, 321, -36, -7, 1]], [13, [33478272, -115445952, 44206848, 26016864, -12669104, -1912560, 1284696, 30188, -60656, 2238, 1334, -94, -11, 1]]], "qexp_display": "q+q^{2}-\\beta _{1}q^{3}+q^{4}-q^{5}-\\beta _{1}q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 18920, "fricke_eigenval": -1, "atkin_lehner_string": "-+--", "analytic_conductor": 37.76924015606562, "hecke_ring_index": 2, "level_radical": 4730, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.003", "prec": 17}, "analytic_rank_proved": true, "char_values": [4730, 1, [947, 431, 1981], [1, 1, 1]], "hecke_ring_generator_nbound": 13, "inner_twist_count": 1, "level_primes": [2, 5, 11, 43], "conrey_indexes": [1], "field_disc": 4925391316222051135501915648, "field_disc_factorization": [[2, 9], [9619904914496193624027179, 1]], "field_poly": [-128, 1648, -296, -4774, 889, 4708, -576, -1985, 100, 376, -5, -32, 0, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.164", "prec": 17}, {"__RealLiteral__": 0, "data": "11.205", "prec": 20}, {"__RealLiteral__": 0, "data": "3.123", "prec": 17}, {"__RealLiteral__": 0, "data": "350.690", "prec": 24}, {"__RealLiteral__": 0, "data": "16.948", "prec": 20}, {"__RealLiteral__": 0, 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